Approximation of functions on the Sobolev space with a Gaussian measure

DOI10.1007/S11425-009-0113-8zbMath1192.42003OpenAlexW2001221635MaRDI QIDQ963682

Xuebo Zhai, Yanwei Zhang, He Ping Wang

Publication date: 13 April 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0113-8

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (6)

Average sampling numbers of multivariate periodic function spaces with a Gaussian measure ⋮ Approximation of functions on the sphere on a Sobolev space with a Gaussian measure in the probabilistic case setting ⋮ Approximation of multivariate periodic functions on the space with a Gaussian measure ⋮ Probabilistic and average widths of Sobolev spaces on compact two-point homogeneous spaces equipped with a Gaussian measure ⋮ Probabilistic and average linear widths of weighted Sobolev spaces on the ball equipped with a Gaussian measure ⋮ Best approximation of functions on the ball on the weighted Sobolev space equipped with a Gaussian measure

Cites Work

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• Average-case analysis of numerical problems
• Approximation of linear operators on a Wiener space
• Probabilistic and average linear widths of Sobolev space with Gaussian measure in \(L_\infty\)-norm
• Approximation and optimization on the Wiener space

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